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14013155052 = 22321397467661
BaseRepresentation
bin11010000110011111…
…11100011011101100
31100011121020000220200
431003033330123230
5212144331430202
610234302313500
71004154565311
oct150317743354
940147200820
1014013155052
115a41073886
122870b88890
131424266830
1496d13cd08
15570380e1c
hex3433fc6ec

14013155052 has 144 divisors (see below), whose sum is σ = 38681147232. Its totient is φ = 4251709440.

The previous prime is 14013155017. The next prime is 14013155083. The reversal of 14013155052 is 25055131041.

14013155052 is a `hidden beast` number, since 140 + 1 + 3 + 15 + 505 + 2 = 666.

It is a super-2 number, since 2×140131550522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21199602 + ... + 21200262.

It is an arithmetic number, because the mean of its divisors is an integer number (268619078).

Almost surely, 214013155052 is an apocalyptic number.

14013155052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013155052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19340573616).

14013155052 is an abundant number, since it is smaller than the sum of its proper divisors (24667992180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14013155052 is a wasteful number, since it uses less digits than its factorization.

14013155052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 14013155052 its reverse (25055131041), we get a palindrome (39068286093).

The spelling of 14013155052 in words is "fourteen billion, thirteen million, one hundred fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 97 117 156 194 234 291 388 467 468 582 661 873 934 1164 1261 1322 1401 1746 1868 1983 2522 2644 2802 3492 3783 3966 4203 5044 5604 5949 6071 7566 7932 8406 8593 11349 11898 12142 15132 16812 17186 18213 22698 23796 24284 25779 34372 36426 45299 45396 51558 54639 64117 72852 77337 90598 103116 109278 128234 135897 154674 181196 192351 218556 256468 271794 308687 309348 384702 407691 543588 577053 588887 617374 769404 815382 833521 926061 1154106 1177774 1234748 1630764 1667042 1766661 1852122 2308212 2355548 2500563 2778183 3334084 3533322 3704244 4012931 5001126 5299983 5556366 7066644 7501689 8025862 10002252 10599966 11112732 12038793 15003378 16051724 21199932 24077586 29942639 30006756 36116379 48155172 59885278 72232758 89827917 119770556 144465516 179655834 269483751 359311668 389254307 538967502 778508614 1077935004 1167762921 1557017228 2335525842 3503288763 4671051684 7006577526 14013155052